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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 31 — Nov. 1, 2011
  • pp: G142–G148

Circular Fibonacci gratings

Nan Gao, Yuchao Zhang, and Changqing Xie  »View Author Affiliations


Applied Optics, Vol. 50, Issue 31, pp. G142-G148 (2011)


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Abstract

We introduce circular Fibonacci gratings (CFGs) that combine the concept of circular gratings and Fibonacci structures. Theoretical analysis shows that the diffraction pattern of CFGs is composed of fractal distributions of impulse rings. Numerical simulations are performed with two-dimensional fast Fourier transform to reveal the fractal behavior of the diffraction rings. Experimental results are also presented and agree well with the numerical results. The fractal nature of the diffraction field should be of great theoretical interest, and shows potential to be further developed into practical applications, such as in laser measurement with wideband illumination.

© 2011 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(110.5220) Imaging systems : Photolithography

History
Original Manuscript: June 27, 2011
Revised Manuscript: September 20, 2011
Manuscript Accepted: September 25, 2011
Published: November 1, 2011

Citation
Nan Gao, Yuchao Zhang, and Changqing Xie, "Circular Fibonacci gratings," Appl. Opt. 50, G142-G148 (2011)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-50-31-G142


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